2.5 Complete the below statement. If two random variables are the joint probability can be written as the product of the marginal probabilities. 2.6 Solve the below problem: Let Y, and Y2 have joint density function Se-Vi+y2), 0, Yı 2 0, y2 2 0, elsewhere. 2.6.1 Find the marginal density function for Y,. Identify this density. (3.5) 2.6.2 For any y2 > 0, what is the conditional density function of Y, given that Y2 = y2? (2.5) %3D Question 3
2.5 Complete the below statement. If two random variables are the joint probability can be written as the product of the marginal probabilities. 2.6 Solve the below problem: Let Y, and Y2 have joint density function Se-Vi+y2), 0, Yı 2 0, y2 2 0, elsewhere. 2.6.1 Find the marginal density function for Y,. Identify this density. (3.5) 2.6.2 For any y2 > 0, what is the conditional density function of Y, given that Y2 = y2? (2.5) %3D Question 3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve some parts plzzz
Transcribed Image Text:2.3 BP petrol is to be stocked in a bulk tank once at the beginning of each week and then sold
to individual customers. Consider the joint density of Y, the proportion of the capacity of the
tank that is stocked at the beginning of the week and Y2, the proportion of the capacity sold
during the week, given by
3y1,
f(y, Y2) =
0 < y2 < y1 < 1,
elsewhere.
2
In each week an average of 70% of the petrol is sold and an average of 30% of the petrol
remains in the Caltex bulk tank at the end of each week. In any given week of the year, what
is the probability that the amount of petrol sold during the week is more than the amount of
petrol that was stocked in the beginning of the week?
2.4 Complete the below statement.
If the covariance of two random variables is zero, the variables_
2.5 Complete the below statement.
If two random variables are
the joint probability can be written as the
product of the marginal probabilities.
2.6 Solve the below problem:
Let Y, and Y, have joint density function
e-Vi+Y2),
f(y1, Y2) =
Yı 2 0, y2 2 0,
elsewhere.
2.6.1
Find the marginal density function for Y,. Identify this density. (3.5)
2.6.2 For any y2 > 0, what is the conditional density function of Y,
given that Y, = y2? (2.5)
Question 3
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